Finding the Third Proportional to 16,074 and 34,820

Step by Step Solution

1. Step 1: Write the proportion equation
   16,074 : 34,820 = 34,820 : x
2. Step 2: Convert to fraction form
   16,074/34,820 = 34,820/x
3. Step 3: Cross multiply
   16,074x = 34,820 × 34,820
4. Step 4: Simplify right side
   16,074x = 1,212,432,400
5. Step 5: Solve for x
   x = 1,212,432,400/16,074
6. Step 6: Final answer
   x = 75,428.17